Elliptic curves and canonical subgroups of formal groups.
Elliptic curves and continued fractions.
Elliptic curves and local -factors
Elliptic curves and -extensions
Elliptic curves and special values of L-series.
Elliptic Curves: Diophantine Torsion Solutions and Singular j-Invariants.
Elliptic curves on Abelian surfaces.
Elliptic curves on spinor varieties
We prove irreducibility of the scheme of morphisms, of degree large enough, from a smooth elliptic curve to spinor varieties. We give an explicit bound on the degree.
Elliptic curves over function fields with a large set of integral points
We construct isotrivial and non-isotrivial elliptic curves over with an arbitrarily large set of separable integral points. As an application of this construction, we prove that there are isotrivial log-general type varieties over with a Zariski dense set of separable integral points. This provides a counterexample to a natural translation of the Lang-Vojta conjecture to the function field setting. We also show that our main result provides examples of elliptic curves with an explicit and arbitrarily...
Elliptic curves with a rational point of finite order.
Elliptic curves with bounded ranks in function field towers
Elliptic Curves With Complex Multiplication and the Conjecture of Birch and Swinnerton-Dyer.
Elliptic Surface Singularities and Smoothings of Curves.
Elliptische Funktionenkörper mit schlechter Reduktion.
Embeddings of Curves.
Empilements de sphères
Endomorphisms of group schemes and rational points on curves
Endomorphisms of jacobian varieties of Fermat curves
Energy decay rates for solutions of Maxwell's system with a memory boundary condition
We consider the stabilization of Maxwell's equations with space variable coefficients in a bounded region with a smooth boundary, subject to dissipative boundary conditions of memory type on the boundary. Under suitable conditions on the domain and on the permeability and permittivity coefficients, we prove the exponential/polynomial decay of the energy. Our result is mainly based on the use of the multipliers method and the introduction of a suitable Lyapounov functional.
Entrelacs toriques itérés et intégrales associées à une courbe plane